{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{\\cos^{19}{\\left(t \\right)}}{19} - \\frac{9 \\cos^{17}{\\left(t \\right)}}{17} + \\frac{12 \\cos^{15}{\\left(t \\right)}}{5} - \\frac{84 \\cos^{13}{\\left(t \\right)}}{13} + \\frac{126 \\cos^{11}{\\left(t \\right)}}{11} - 14 \\cos^{9}{\\left(t \\right)} + 12 \\cos^{7}{\\left(t \\right)} - \\frac{36 \\cos^{5}{\\left(t \\right)}}{5} + 3 \\cos^{3}{\\left(t \\right)} - \\cos{\\left(t \\right)}$"
      ],
      "text/plain": [
       "cos(t)**19/19 - 9*cos(t)**17/17 + 12*cos(t)**15/5 - 84*cos(t)**13/13 + 126*cos(t)**11/11 - 14*cos(t)**9 + 12*cos(t)**7 - 36*cos(t)**5/5 + 3*cos(t)**3 - cos(t)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sympy import *\n",
    "# from sympy import init_printing\n",
    "from sympy.abc import *\n",
    "x=sin(t)**19\n",
    "integrate(x,t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "a6b2a446df440bee9c99ca0d62e47ab197710c7f47ecf8f74e850abc8bd383c6"
  },
  "kernelspec": {
   "display_name": "Python 3.9.7 ('base')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
